From what I can tell, not all fuel filter heads are heated. The heated ones have 2 plugs, according to the parts manuals. The old part number with a single plug appears to have been superseded by the part number with two plugs. So can you please explain what each of the two plugs is for? The manuals don't actually explain what the 3-pin plug is for and I haven't dismantled a filter head to find out. Then again, the diagrams might just be wrong - if they are then I'm wrong, too.
But I can vouch for the engine not being capable of much more than idling with the lift pump disconnected, with the tank less than 1/4 full, and I doubt it will do much better with a full tank. Contrary to what you said in your original post, it will not "run happily", and there is a matter of the distinction of it being capable of idling and it being capable of moving the vehicle.